Turbulence

according to Eq apply assumed assumption average Batchelor condition consider const constant correlation coefficient correlation function Corrsin curve density determined diameter dissipation scale distance distribution dx₁ dynamic equation eddy viscosity eddy-diffusion effect electric resistance energy spectrum Eulerian experimental exponential function expression flow field Fluid Mech fluid particles follows Fourier Fourier transform Gaussian gradient grid heat Hence homogeneous turbulence hot wire hot-wire anemometer incompressible incompressible fluid inertial subrange integral scale isotropic turbulence k₁ kinetic energy Lagrangian mean motion mean velocity measurements molecular diffusion momentum obtained pressure Proc quantity relation respect Reynolds number scalar shear shear stress shows solution spatial spectrum function temperature term theory transfer transport turbulence velocity turbulent flow turbulent fluctuation turbulent motion u₁ u₂ velocity component velocity correlation viscosity vorticity wavenumber range x₁ zero ди др